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Finding the Fourth Proportional to 913.01, 1,259.64 and 519.80

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Solution

The fourth proportional to 913.01, 1,259.64 and 519.80 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.01 : 1,259.64 = 519.80 : x
  2. Step 2: Convert to fraction form
    913.01/1,259.64 = 519.80/x
  3. Step 3: Cross multiply
    913.01x = 1,259.64 × 519.80
  4. Step 4: Simplify right side
    913.01x = 654,754.57
  5. Step 5: Solve for x
    x = 654,754.57/913.01
  6. Step 6: Final answer
    x = 717.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.